Mathematics
         
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On line Solution of Monovariate Equation:
    Input any unary equation directly, and then click the "Next" button to obtain the solution of the equation.
    It supports equations that contain mathematical functions.
    Current location:Equations > Monovariate Equation > The history of univariate equation calculation > Answer

    Overview: 1 questions will be solved this time.Among them
           ☆1 equations

[ 1/1 Equation]
    Work: Find the solution of equation (21-2x)(27-2x) = 1/4×27×21 .
    Question type: Equation
    Solution:Original question:
     (212 x )(272 x ) = 1 ÷ 4 × 27 × 21
    Remove the bracket on the left of the equation:
     Left side of the equation = 21(272 x )2 x (272 x )
                                             = 21 × 2721 × 2 x 2 x (272 x )
                                             = 56742 x 2 x (272 x )
                                             = 56742 x 2 x × 27 + 2 x × 2 x
                                             = 56742 x 54 x + 4 x x
                                             = 56796 x + 4 x x
    The equation is transformed into :
     56796 x + 4 x x = 1 ÷ 4 × 27 × 21
     Right side of the equation =
567
4
    The equation is transformed into :
     56796 x + 4 x x =
567
4

    The solution of the equation:
        x1≈5.860985 , keep 6 decimal places
        x2≈18.139015 , keep 6 decimal places
    
    There are 2 solution(s).


解程的详细方法请参阅:《方程的解法》



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